Name ________________________________Task Packet

1. Evaluate the following numerical expressions.

a.) 2 x 5 + 3 x 2 + 4

b.) 2 x (5 + 3 x 2 + 4)

c.) 2 x 5 + 3 x (2 + 4)

d.) 2 x (5 + 3) x 2 + 4

e.) (2x5) + (3x2) + 4

f.) 2 x (5 + 3) x (2 + 4)

Can the parentheses in any of those expression be removed without changing the value of the expression? Solve and Explain.

2. Create an expression that records the calculations described below, but do not evaluate.

Add 2 and 4 and multiply the sum by 3. Next, add 5 to that product and then double the result.

3..Below if a picture that represents 9 + 2

a.) Draw a picture that represents 4 x (9 + 2)

b.) How many times bigger is the value of 4 x (9 + 2) than 9 + 2? Explain your reasoning.

4. a.) Kipton has a digital scale. He puts a marshmallow on the scale and it reads 7.2 grams. How much would you expect 10 marshmallows to weigh? Why?

b.) Kipton take the marshmallows off the scale. He then puts on 10 jellybeans and then the scale reads 12.0 grams. How much would you expect 1 jellybean to weigh? Why?

c.) Kipton then takes off the jellybeans and puts on 10 brand-new pick erasers. The scale reads 312.4 grams. How much would you expect 1,000 pink erasers to weigh? Why?

5. Jessie drew a picture to represent 0.24

She said, The little red squares represent tenths and the rectangles represent hundredths, which makes sense because ten little squares makes one rectangle, and ten times ten is one hundred.

a.) Explain what is wrong with Jesse’s reasoning.

b.) Name three numbers that Jesse’s picture could represent. In each case, What does a little square represent? What does a rectangle represent?

6. Niko and Carlos are studying parallelograms and trapezoids. They agree that a parallelogram is a quadrilateral with 2 pairs of parallel sides. They said,

A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a trapezoid is not a parallelogram.

a.) Discuss the difference between a quadrilateral and a parallelogram.

b.) Which statements are true ?

i. All parallelograms are trapezoids.ii. Some parallelograms are trapezoids.iii. No parallelograms are trapezoids.iv. All trapezoids are parallelograms.v. Some trapezoids are parallelograms.vi. No trapezoids are parallelograms.

c.) Which picture represents the relationship between trapezoids and parallelograms for each definition?

i.

ii.

iii.

ParallelogramsTrapezoids

parallelogramsTrapezoids

TrapezoidsParallelograms

7.) Nick and Trish are buying supplies for a camping trip. They need to buy chocolate bars to make s’mores, their favorite campfire dessert. Each of them has a different recipe for their perfect s’more. Nick likes to use ½ of a chocolate bar to make a s’more. Trish will only eat a s’more that is made with exactly 2/5 of a chocolate bar.

a.) What fraction of a chocolate bar will Nick and Trish use in total if they each eat one s’more?

b.) Nick wants to cut one chocolate bar into pieces of equal size so that he and Trish can make their s’mores. How many pieces should he cut the chocolate bar into so that each person will get the right amount of chocolate to make their perfect s’more?

c.) After Nick cuts the chocolate bar into pieces of equal size, how many pieces of the chocolate bar should he get? How many pieces of the chocolate bar should be give to Trish?

8.) After a class potluck, Emma has three equally sized apple pies left and she wants to divide them into eight equal portions to give to eight students who want to take some pie home.

a.) Draw a picture showing how Emma might divide the pies into eight equal portions. Explain how your picture shows eight equal portions.

b.) What fraction of a pie will each of the eight student get?

c.) Explain how the answer to (b) is related to the division problem 3 ÷ 8.

9.) Allison really wants to ride her favorite ride at an amusement park one more time before her parents pick her up at 2:30pm. There is a very long line at this ride, which Allison joins at 1:50pm (point A in the diagram below). Allison is nervously checking the time as she is moving forward in line. By 2:03pm she has made it to point B in the line.

What is your best estimate for how long it will take Allison to reach the front of the line? If the ride lasts three minutes, can she ride one more time before her parents arrive?

10.) Please see the next page for a coordinate plane and practice graphing points.

AB

Front of the line